0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.13/0.40 % Computer : n003.cluster.edu 0.13/0.40 % Model : x86_64 x86_64 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.40 % Memory : 8046.5625MB 0.13/0.40 % OS : Linux 6.8.0-71-generic 0.13/0.40 % CPULimit : 1440 0.13/0.40 % WCLimit : 180 0.13/0.40 % DateTime : Mon Jul 27 14:22:09 UTC 2026 0.13/0.40 % CPUTime : 0.13/0.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.13/0.46 Running higher-order theorem proving 4.95/5.21 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.SYf4kfSFuN/E---3.1_4054127.p 124.34/46.28 % Version: 3.5.1-ho 124.34/46.28 % partial match(1): HMLMSMSMSSLCHFA 124.34/46.28 % Preprocessing class: HMLMSMLMSSLCHFA. 124.34/46.28 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 124.34/46.28 % Starting new_ho_10 with 895s (5) cores 124.34/46.28 % Starting sh5l with 179s (1) cores 124.34/46.28 % Starting new_bool_1 with 179s (1) cores 124.34/46.28 % Starting new_bool_2 with 179s (1) cores 124.34/46.28 % new_bool_2 with pid 4054143 completed with status 0 124.34/46.28 % Result found by new_bool_2 124.34/46.28 % partial match(1): HMLMSMSMSSLCHFA 124.34/46.28 % Preprocessing class: HMLMSMLMSSLCHFA. 124.34/46.28 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 124.34/46.28 % Starting new_ho_10 with 895s (5) cores 124.34/46.28 % Starting sh5l with 179s (1) cores 124.34/46.28 % Starting new_bool_1 with 179s (1) cores 124.34/46.28 % Starting new_bool_2 with 179s (1) cores 124.34/46.28 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 124.34/46.28 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 124.34/46.28 % Search class: HGHSM-SMLM32-DHFFFFBN 124.34/46.28 % partial match(1): HGHSM-SMLM32-DHFFFSBN 124.34/46.28 % Scheduled 5 strats onto 1 cores with 177 seconds (177 total) 124.34/46.28 % Starting SubtermCWHack with 18s (1) cores 124.34/46.28 % SubtermCWHack with pid 4054144 completed with status 8 124.34/46.28 % Starting new_ho_10 with 107s (1) cores 124.34/46.28 % new_ho_10 with pid 4054306 completed with status 0 124.34/46.28 % Result found by new_ho_10 124.34/46.28 % partial match(1): HMLMSMSMSSLCHFA 124.34/46.28 % Preprocessing class: HMLMSMLMSSLCHFA. 124.34/46.28 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 124.34/46.28 % Starting new_ho_10 with 895s (5) cores 124.34/46.28 % Starting sh5l with 179s (1) cores 124.34/46.28 % Starting new_bool_1 with 179s (1) cores 124.34/46.28 % Starting new_bool_2 with 179s (1) cores 124.34/46.28 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 124.34/46.28 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 124.34/46.28 % Search class: HGHSM-SMLM32-DHFFFFBN 124.34/46.28 % partial match(1): HGHSM-SMLM32-DHFFFSBN 124.34/46.28 % Scheduled 5 strats onto 1 cores with 177 seconds (177 total) 124.34/46.28 % Starting SubtermCWHack with 18s (1) cores 124.34/46.28 % SubtermCWHack with pid 4054144 completed with status 8 124.34/46.28 % Starting new_ho_10 with 107s (1) cores 124.34/46.28 % Preprocessing time : 0.144 s 124.34/46.28 % Presaturation interreduction done 124.34/46.28 124.34/46.28 % Proof found! 124.34/46.28 % SZS status Theorem 124.34/46.28 % SZS output start CNFRefutation 124.34/46.28 thf(decl_sort1, type, nat: $tType). 124.34/46.28 thf(decl_sort2, type, num: $tType). 124.34/46.28 thf(decl_sort3, type, option_nat: $tType). 124.34/46.28 thf(decl_sort4, type, vEBT_VEBT: $tType). 124.34/46.28 thf(decl_sort5, type, list_VEBT_VEBT: $tType). 124.34/46.28 thf(decl_246, type, one_one_nat: nat). 124.34/46.28 thf(decl_424, type, nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT). 124.34/46.28 thf(decl_453, type, suc: nat > nat). 124.34/46.28 thf(decl_520, type, bit0: num > num). 124.34/46.28 thf(decl_522, type, one: num). 124.34/46.28 thf(decl_530, type, numeral_numeral_nat: num > nat). 124.34/46.28 thf(decl_536, type, none_nat: option_nat). 124.34/46.28 thf(decl_539, type, some_nat: nat > option_nat). 124.34/46.28 thf(decl_762, type, divide_divide_nat: nat > nat > nat). 124.34/46.28 thf(decl_911, type, vEBT_VEBT_high: nat > nat > nat). 124.34/46.28 thf(decl_948, type, vEBT_vebt_mint: vEBT_VEBT > option_nat). 124.34/46.28 thf(decl_989, type, deg: nat). 124.34/46.28 thf(decl_993, type, na: nat). 124.34/46.28 thf(decl_995, type, thesis: $o). 124.34/46.28 thf(decl_996, type, treeList: list_VEBT_VEBT). 124.34/46.28 thf(decl_997, type, xa: nat). 124.34/46.28 thf(decl_1010, type, esk9_1: option_nat > nat). 124.34/46.28 thf(conj_1, conjecture, (thesis), file('/export/starexec/sandbox2/tmp/tmp.SYf4kfSFuN/E---3.1_4054127.p', conj_1)). 124.34/46.28 thf(conj_0, hypothesis, ![X10605:nat]:((((vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))=(some_nat @ X10605))=>(thesis))), file('/export/starexec/sandbox2/tmp/tmp.SYf4kfSFuN/E---3.1_4054127.p', conj_0)). 124.34/46.28 thf(fact_1__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062, axiom, ((divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))=(na)), file('/export/starexec/sandbox2/tmp/tmp.SYf4kfSFuN/E---3.1_4054127.p', fact_1__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062)). 124.34/46.28 thf(fact_1123_Suc__1, axiom, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), file('/export/starexec/sandbox2/tmp/tmp.SYf4kfSFuN/E---3.1_4054127.p', fact_1123_Suc__1)). 124.34/46.28 thf(fact_37_not__Some__eq, axiom, ![X16571:option_nat]:((![X16572:nat]:(((X16571)!=(some_nat @ X16572)))<=>((X16571)=(none_nat)))), file('/export/starexec/sandbox2/tmp/tmp.SYf4kfSFuN/E---3.1_4054127.p', fact_37_not__Some__eq)). 124.34/46.28 thf(fact_0_False, axiom, ((vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))!=(none_nat)), file('/export/starexec/sandbox2/tmp/tmp.SYf4kfSFuN/E---3.1_4054127.p', fact_0_False)). 124.34/46.28 thf(c_0_6, negated_conjecture, ~((thesis)), inference(assume_negation,[status(cth)],[conj_1])). 124.34/46.28 thf(c_0_7, hypothesis, ![X27401:nat]:((((vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))!=(some_nat @ X27401))|(thesis))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])). 124.34/46.28 thf(c_0_8, plain, ((divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))=(na)), inference(split_conjunct,[status(thm)],[fact_1__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062])). 124.34/46.28 thf(c_0_9, plain, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_1123_Suc__1])). 124.34/46.28 thf(c_0_10, negated_conjecture, ~(thesis), inference(fof_simplification,[status(thm)],[c_0_6])). 124.34/46.28 thf(c_0_11, hypothesis, ![X1:nat]:(((thesis)|((vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))!=(some_nat @ X1)))), inference(split_conjunct,[status(thm)],[c_0_7])). 124.34/46.28 thf(c_0_12, plain, ((divide_divide_nat @ deg @ (suc @ one_one_nat))=(na)), inference(rw,[status(thm)],[c_0_8, c_0_9])). 124.34/46.28 thf(c_0_13, negated_conjecture, ~((thesis)), inference(split_conjunct,[status(thm)],[c_0_10])). 124.34/46.28 thf(c_0_14, plain, ![X27428:option_nat, X27430:option_nat, X27431:nat]:(((((X27428)=(some_nat @ (esk9_1 @ X27428)))|((X27428)=(none_nat)))&(((X27430)!=(none_nat))|((X27430)!=(some_nat @ X27431))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_37_not__Some__eq])])])])])). 124.34/46.28 thf(c_0_15, plain, ((vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))))!=(none_nat)), inference(split_conjunct,[status(thm)],[fact_0_False])). 124.34/46.28 thf(c_0_16, hypothesis, ![X1:nat]:(((vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na)))!=(some_nat @ X1))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_9]), c_0_12]), c_0_13])). 124.34/46.28 thf(c_0_17, plain, ![X552:option_nat]:((((X552)=(some_nat @ (esk9_1 @ X552)))|((X552)=(none_nat)))), inference(split_conjunct,[status(thm)],[c_0_14])). 124.34/46.28 thf(c_0_18, plain, ((vEBT_vebt_mint @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na)))!=(none_nat)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_9]), c_0_12])). 124.34/46.28 thf(c_0_19, hypothesis, ($false), inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17])]), c_0_18]), ['proof']). 124.34/46.28 % SZS output end CNFRefutation 124.34/46.28 % Parsed axioms : 11333 124.34/46.28 % Removed by relevancy pruning/SinE : 7325 124.34/46.28 % Initial clauses : 11237 124.34/46.28 % Removed in clause preprocessing : 2093 124.34/46.28 % Initial clauses in saturation : 9144 124.34/46.28 % Processed clauses : 12560 124.34/46.28 % ...of these trivial : 358 124.34/46.28 % ...subsumed : 3375 124.34/46.28 % ...remaining for further processing : 8827 124.34/46.28 % Other redundant clauses eliminated : 3031 124.34/46.28 % Clauses deleted for lack of memory : 0 124.34/46.28 % Backward-subsumed : 36 124.34/46.28 % Backward-rewritten : 90 124.34/46.28 % Generated clauses : 4457 124.34/46.28 % ...of the previous two non-redundant : 3447 124.34/46.28 % ...aggressively subsumed : 0 124.34/46.28 % Contextual simplify-reflections : 127 124.34/46.28 % Paramodulations : 1670 124.34/46.28 % Factorizations : 0 124.34/46.28 % NegExts : 0 124.34/46.28 % Equation resolutions : 3046 124.34/46.28 % Disequality decompositions : 0 124.34/46.28 % Total rewrite steps : 20197 124.34/46.28 % ...of those cached : 19280 124.34/46.28 % Propositional unsat checks : 0 124.34/46.28 % Propositional check models : 0 124.34/46.28 % Propositional check unsatisfiable : 0 124.34/46.28 % Propositional clauses : 0 124.34/46.28 % Propositional clauses after purity: 0 124.34/46.28 % Propositional unsat core size : 0 124.34/46.28 % Propositional preprocessing time : 0.000 124.34/46.28 % Propositional encoding time : 0.000 124.34/46.28 % Propositional solver time : 0.000 124.34/46.28 % Success case prop preproc time : 0.000 124.34/46.28 % Success case prop encoding time : 0.000 124.34/46.28 % Success case prop solver time : 0.000 124.34/46.28 % Current number of processed clauses : 861 124.34/46.28 % Positive orientable unit clauses : 369 124.34/46.28 % Positive unorientable unit clauses: 0 124.34/46.28 % Negative unit clauses : 206 124.34/46.28 % Non-unit-clauses : 286 124.34/46.28 % Current number of unprocessed clauses: 5278 124.34/46.28 % ...number of literals in the above : 18658 124.34/46.28 % Current number of archived formulas : 0 124.34/46.28 % Current number of archived clauses : 5383 124.34/46.28 % Clause-clause subsumption calls (NU) : 30402907 124.34/46.28 % Rec. Clause-clause subsumption calls : 1433839 124.34/46.28 % Non-unit clause-clause subsumptions : 3041 124.34/46.28 % Unit Clause-clause subsumption calls : 53852 124.34/46.28 % Rewrite failures with RHS unbound : 0 124.34/46.28 % BW rewrite match attempts : 1053 124.34/46.28 % BW rewrite match successes : 261 124.34/46.28 % Condensation attempts : 12560 124.34/46.28 % Condensation successes : 36 124.34/46.28 % Termbank termtop insertions : 3168291 124.34/46.28 % Search garbage collected termcells : 196419 124.34/46.28 124.34/46.28 % ------------------------------------------------- 124.34/46.28 % User time : 38.760 s 124.34/46.28 % System time : 0.433 s 124.34/46.28 % Total time : 39.193 s 124.34/46.28 % Maximum resident set size: 52120 pages 124.34/46.28 124.34/46.28 % ------------------------------------------------- 124.34/46.28 % User time : 40.174 s 124.34/46.28 % System time : 0.485 s 124.34/46.28 % Total time : 40.659 s 124.34/46.28 % Maximum resident set size: 29952 pages 124.34/46.28 % E exiting 124.34/46.29 EOF